Show commands:
SageMath
E = EllipticCurve("il1")
E.isogeny_class()
Elliptic curves in class 381150il
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.il1 | 381150il1 | \([1, -1, 1, -171395555, -864229081053]\) | \(-1103770289367265/891813888\) | \(-449901980727091200000000\) | \([]\) | \(127680000\) | \(3.4682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150il1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150il do not have complex multiplication.Modular form 381150.2.a.il
sage: E.q_eigenform(10)